1.25 is what percent of 517.75 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 517.75 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 517.75, so we can write it down as 100%=517.75.
4. We know, that x% equals 1.25 of the output value, so we can write it down as x%=1.25.
5. Now we have two simple equations:
1) 100%=517.75
2) x%=1.25
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=517.75/1.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.25 is what percent of 517.75

100%/x%=517.75/1.25
(100/x)*x=(517.75/1.25)*x       - we multiply both sides of the equation by x
100=414.2*x       - we divide both sides of the equation by (414.2) to get x
100/414.2=x
0.24142926122646=x
x=0.24142926122646

now we have:
1.25 is 0.24142926122646% of 517.75